The average college student loan debt in NJ is $35,000 ( = 14,000) and normally distributed.

1. You have student loan debt of $14,000. Please respond to the following two questions using the information provided. Give each response a clear label.

a. How far from the population mean are you, in standard deviations? What is your z score, in other words? Please display all of your work. b. Explain the conclusion you reached in section A. Is your z score a good or bad thing, relative to other NJ college students (i.e., comparing your loan amount to their loan amount)? Give an explanation for your response.

2. What proportion of college students in New Jersey owe more than $63,000 on their loans? Show all of your work. 3. How many students in New Jersey's 400,000 college students (rounded from Univstats data) owe between $21,000 and $49,000? Please present all of your work and provide an explanation of your conclusions.